Presentation 2003/12/1
A Method to Estimate the Learning Coefficients of Singular Learning Machines by Decomposition of Kullback Information
Kenji NAGATA, Sumio WATANABE,
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Abstract(in English) A lot of learning machines such as neural networks, normal mixtures, Bayesian networks, and hidden Markov models are singular statistical models. Their Fisher information matrices are not positive definite, hence the conventional statistical asymptotic theory does not hold. In this paper, we propose a new method to calculate the learning coefficients by decomposing the Kullback information. The effectiveness of the proposed method is shown by experimetal results.
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Keyword(in English) Singular Learning Machines / Kullback Information / Stochastic Complexity
Paper # NC2003-104
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Committee NC
Conference Date 2003/12/1(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) A Method to Estimate the Learning Coefficients of Singular Learning Machines by Decomposition of Kullback Information
Sub Title (in English)
Keyword(1) Singular Learning Machines
Keyword(2) Kullback Information
Keyword(3) Stochastic Complexity
1st Author's Name Kenji NAGATA
1st Author's Affiliation Department of Computer Science Tokyo Institute of Technology()
2nd Author's Name Sumio WATANABE
2nd Author's Affiliation PI Lab., Tokyo Institute of Technology
Date 2003/12/1
Paper # NC2003-104
Volume (vol) vol.103
Number (no) 490
Page pp.pp.-
#Pages 6
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